Practice on decimals

### 1.1. Solve textbook exercises on pages 150, 151

**Lesson 1 Textbook page 150**

Read decimals; State the integer part, the decimal part, and the place value of each of them:

63.42 ; 99.99 ; 81,325 ; 7,081

*Solution guide:*

+) The number 63.42 is read as: Sixty-three point forty-two.

– 63 is the integer part, 42 is the decimal part.

– The digit 6 in the tens place should have the value 60, the digit 3 in the units position should have the value 3, the digit 4 in the tenth place should have the value \(\frac {4}{{10}}\), the digit 2 in the percentile should be \(\frac{2}{{100}}\)

+) The number 99.99 reads: Ninety-nine point ninety-nine.

– 99 (before the comma) is the integer part, 99 (after the comma) is the decimal part.

– The digit 9 from left to right has a value of 90 respectively; 9; \(\frac{9}{{10}}\); \(\frac{9}{{100}}\)

+) Number 81,325 reads: Eighty-one point three hundred and twenty-five.

– 81 is the integer part, 325 is the decimal part.

– The digit 8 in the tens place should have the value 80, the digit 1 in the units position should have the value 1, the digit 3 in the tenth place should have the value \(\frac {3}{{10}}\), the digit 2 in the percentile position should be \(\frac{2}{{100}}\), the digit 5 in the thousandth place should whose value is \(\frac{5}{{1000}}\)

+) The number 7,081 reads as: Seven point zero hundred and eighty one.

– 7 is the integer part, 081 is the decimal part.

The digit 7 in the units place should have a value of 7, the digit 0 in the tenth place should have the value \(\frac{0}{{10}}\), the digit 8 at the The percentile position should be \(\frac{8}{{100}}\), the digit 1 in the thousandth place should be \(\frac{1}{{1000}} \)

Lesson 2 Textbook page 150

Write decimals with:

a) Eight units, six tenths, five percent (i.e. eight units and sixty-five percent).

b) Seventy-two units, four tenths, nine percents, three thousandths (i.e. seventy-two units and four hundred and ninety-three thousandths).

c) No units, four percent.

*Solution guide:*

a) The number consisting of “eight units, six tenths, five percents (i.e. eight units and sixty-five percent) is written as 8.65.

b) The number consisting of “Seventy-two units, four tenths, nine percent, three thousandths (i.e. seventy-two units and four hundred and ninety-three thousandths)” is written as 72,493.

c) The number consisting of “No units, four percent” is written as 0.04.

Lesson 3 Textbook page 150

Add a zero to the right of each decimal so that the decimals below all have two decimal places.

74.6 ; 284.3 ;

401.25 ; 104.

*Solution guide:*

74.6 = 74.60 ; 284.3 = 284.30 ;

401.25 = 401, 25; 104 = 104.00.

Lesson 4 Textbook page 151

Write the following numbers as decimals:

a) \(\frac{3}{{10}};\frac{3}{{100}};4\frac{{25}}{{100}};\frac{{2002}}{{1000) }}\)

b) \(\frac{1}{4};\frac{3}{5};\frac{7}{8};1\frac{1}{2}\)

*Solution guide:*

a) \(\frac{3}{{10}} = 0.3;\frac{3}{{100}} = 0.03\)

\(4\frac{{25}}{{100}} = 4.25;\frac{{2002}}{{1000}} = 2.002\)

b)

\(\begin{array}{l}

\frac{1}{4} = \frac{{25}}{{100}} = 0.2\\

\frac{3}{5} = \frac{6}{{10}} = 0.6\\

\frac{7}{8} = \frac{{7 \times 125}}{{8 \times 125}} = \frac{{875}}{{1000}} = 0.875\\

1\frac{1}{2} = 1\frac{5}{{10}} = 1.5

\end{array}\)

Lesson 5 Textbook page 151

Put the sign >,<,=>,<,= in the dot:

78.6…78.59 28,300…28.3

9,478…9.48 0.916…0.906

*Solution guide:*

78.6 > 78.59 28,300 = 28.3

9.478 < 9.48 0.916 > 0.906

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